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Finding the Third Proportional to 68,148 and 149,418

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Solution

The third proportional to 68,148 and 149,418 is: 327,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148 : 149,418 = 149,418 : x
  2. Step 2: Convert to fraction form
    68,148/149,418 = 149,418/x
  3. Step 3: Cross multiply
    68,148x = 149,418 × 149,418
  4. Step 4: Simplify right side
    68,148x = 22,325,738,724
  5. Step 5: Solve for x
    x = 22,325,738,724/68,148
  6. Step 6: Final answer
    x = 327,606.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.